Preparing for the Regents Examination Geometry, AK

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Part II For each question, use the specific criteria to award a maximum of 2 credits. 11 Score Explanation 2 a True b False c False d True 1 Student answers only two parts correctly. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 12 Score Explanation 2 11, and an appropriate explanation is given. 1 11, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 13 Score Explanation 2 68 and 112, and an appropriate explanation is given. 1 68 and 112, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 14 Score Explanation 2 57.5, and an appropriate explanation is given. 1 57.5, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Part III For each question, use the specific criteria to award a maximum of 4 credits. 15 Score Explanation 4 AC 12, AB 16, BC 16, and an appropriate explanation is given. 3 An appropriate method is used, but a single arithmetical error is made. 2 An appropriate method is used, but multiple arithmetical errors are made. 1 AC 12, AB 16, BC 16, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Chapters 1–4 99
16 Score Explanation 4 a 91, b 35, c 54, d 91, and an appropriate explanation is given. 3 An appropriate method is used, but a single arithmetical error is made. 2 An appropriate method is used, but multiple arithmetical errors are made. 1 a 91, b 35, c 54, d 91, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 17 Score Explanation 4 mPTC 50, and an appropriate explanation is given. 3 An appropriate method is used, but a single arithmetical error is made. 2 An appropriate method is used, but multiple arithmetical errors are made. 1 mPTC 50, but no explanation is given. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. Part IV For each question, use the specific criteria to award a maximum of 6 credits. 18 Score Explanation 3 a Given A F and −− AB −− EF . −−− AD −− CF and by the reflexive property of congruence −−− DC −−− DC . By the addition postulate, −−−− ADC −−− FCD . Therefore, by SAS, ABC DEF. 2 a An appropriate proof with correct conclusions is shown, but one reason is faulty and/or one statement is missing. 1 a A correct conclusion is reached and a reason is given, but no appropriate method is shown. 3 b Given D A. C is the midpoint of −−− AD , then −− AC −−− DC . ACB DCE because vertical angles are congruent. Therefore, by ASA, ABC DEC. 2 b An appropriate proof with correct conclusions is shown, but one reason is faulty and/or one statement is missing. 1 b A correct conclusion is reached and a reason is given, but no appropriate method is shown. 0 A zero response is completely incorrect, irrelevant, or incoherent or is a correct response that was obtained by an obviously incorrect procedure. 100 Cumulative Reviews
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ANSWER KEY Preparing for the REGENT
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Contents Chapter 1: Essentials of G
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1-4 Angles (pages 9-10) 1 (4) It is
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6 True 7 True 8 True 9 True 10 Answ
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3 1. e ∨ ~f 2. ~f → g 3. ~e 4.
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CHAPTER 3 3-1 Inductive Reasoning (
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6. BAC DAE 6. Transitive property.
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CHAPTER 4-1 Setting Up a Valid Proo
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6 Given: BA bisects CBE 1 2 2 4
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1 1. −−−− ABCD 2. 1 2 3. _
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18 1. I is the midpoint of −− E
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5-3 Isosceles and Equilateral Trian
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12. −−− HG −−− DC 13.
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5 1. −− FG is the perpendicular
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Chapter Review (pages 84-85) Note:
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20 Use constructing congruent angle
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6-3 Line Reflections and Symmetry (
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11 A(0, 8), B(2, 2), C(6, 4) (8) 10
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5 (3) (x, y) → (x, 2y) 6 (1) tran
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11. mABC mADC 12. 2mABD 2mADB 13.
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6. mDAB mCAD mDCB mACD 7. mCAB
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g e 17 a _ f d b Undefined c a _
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5 BIG is isosceles because it has t
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___ 27 a M KA (5, 1), M ___ AT (4
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8 106 9 mA 75, mC 67 10 57 11 60
Page 51 and 52: 9-5 The Sum of the Measures of the
Page 53 and 54: 9-7 The Converse of the Isosceles T
Page 55 and 56: 12 1. ___ CE ___ BA , ___ BD ___
Page 57 and 58: 12 a mx 45, my 45 b mx 98, my 8
Page 59 and 60: Quadrilaterals 10-2 The Parallelogr
Page 61 and 62: 7. MAD RCB 8. MAD RCB (SAS SAS)
Page 63 and 64: 5. RSQ TSV (Vertical angles) 6. QR
Page 65 and 66: 3 4x 2 3x 3 x 5 RS 18 4 Perime
Page 67 and 68: Note: Since there are many variatio
Page 69 and 70: 28 Enclose PAT in a large rectangle
Page 71 and 72: Geometry of Three Dimensions 11-1 P
Page 73 and 74: 11-6 Volume of a Prism (pages 269-2
Page 75 and 76: 14 47.5 in. 2 15 h 4 in. 16 25 cm
Page 77 and 78: 14 a 3 : 2 b QR 10, RS 20, ST 12
Page 79 and 80: 4. A A 5. ADE ABC b (AA) AC _ AB
Page 81 and 82: 12 7 √ 2 13 4 14 5 √ 3 15 x
Page 83 and 84: 13-2 Arcs and Chords (pages 350-351
Page 85 and 86: 27 1. Common external tangents, −
Page 87 and 88: 8. mHCT 1 _ m 2 TH mCHT 1 _ CT 2
Page 89 and 90: 16 a (2 √ 2 , 2 √ 2 ), (2 √
Page 91 and 92: 15 a Use constructing a congruent a
Page 93 and 94: 5 Two horizontal lines y 11 and y
Page 95 and 96: Each review has a total of 58 possi
Page 97 and 98: Part III For each question, use the
Page 99 and 100: Chapters 1-3 (pages 438-441) Part I
Page 101: Part IV For each question, use the
Page 107 and 108: Part IV For each question, use the
Page 109 and 110: 20 Score Explanation 6 The followin
Page 113 and 114: Part II For each question, use the
Page 117 and 118: Part III For each question, use the
Page 123 and 124: 12 Score Explanation 2 31, and an a
Page 127 and 128: 16 Score Explanation 4 DN √ 106
Page 129 and 130: 20 Score Explanation 2 a 3, and an
Page 131 and 132: 17 Score Explanation 4 6 √ 5 , a
Page 135 and 136: 16 Score Explanation 4 mADE 93, mB
Page 137 and 138: 20 Score Explanation Chapters 1-14
Page 141 and 142: Practice Regents Examination One (p
Page 143 and 144: 36 Score Explanation 4 36, and an a
Page 145 and 146: 32 Score Explanation 2 108, and an
Page 147 and 148: Part II For each question, use the
Page 149: Part IV For each question, use the
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Preparing for the Regents Examination Geometry, AK

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